用可变形图结构提升碰撞安全仿真预测的通用性与效率
Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation

- 通过特征对齐的重心参数化动态适配输入网格,解决固定粗粒度图限制
- 节点掩码预训练+边缘层冻结微调,提升跨场景迁移的数据效率
- 在多种工况下均优于基准模型,适合需要快速迭代的设计优化
非线性有限元碰撞仿真精度高但计算成本大,难以用于迭代设计优化。基于图神经网络的机器学习代理模型可提供更快替代方案。消息传递型GNN因共享节点和边更新函数,在不同图结构间具备较好泛化能力;而非共享的边特定聚合层虽能更准确捕捉非线性关系,但通常需固定图连接结构,限制泛化性。本文提出掩码形变图U-Net(MMGUNet),解决层级图U-Net中边特定下采样与上采样层带来的局限。该方法在构建跨图边前,利用特征对齐的重心参数化将粗化图层次形变为每个输入网格,以保持空间对应。同时在监督预训练阶段引入节点掩码,并在微调时冻结高参数边特定层,实现参数高效。在分布内、分布外及跨部件迁移设置下,以欧氏距离均值和最大侵入百分比误差评估。结果表明,粗图形变显著提升测试精度,掩码预训练降低训练-测试偏差并增强迁移数据效率,整体预测误差低于外部基线。这为碰撞安全性设计探索提供了可复用、高效的数据驱动建模路径。
原文摘要 · Abstract (English)
Nonlinear finite element crash simulations are accurate but computationally expensive, limiting their use in iterative design optimisation. Machine-learning surrogate models based on graph neural networks (GNNs) offer a faster alternative. Message-passing GNNs are widely used for mesh simulation, and their shared node and edge update functions are relatively generalisable across varying graph structures. By contrast, non-shareable edge-specific aggregation layers can capture nonlinear relationships more accurately but usually require fixed graph connectivity, which limits generalisability. This paper presents Mask-Morph Graph U-Net (MMGUNet), a practical approach to addressing the limitation of hierarchical Graph U-Net architectures that use edge-specific downsampling and upsampling layers. Fixed coarse graph connectivity is required for edge-specific layers. To retain this while improving spatial correspondence, the proposed method morphs the coarsened graph hierarchy to each input mesh using feature-aligned barycentric parameterisation before constructing cross-graph edges. It further applies node masking during supervised pretraining, followed by parameter-efficient fine-tuning in which high-parameter edge-specific layers are frozen. The proposed approach is evaluated in in-distribution, out-of-distribution, and cross-component transfer settings using mean Euclidean distance and maximum intrusion percentage error. Results show that coarse-graph morphing improves test accuracy relative to a fixed-coarse-graph baseline, while masked supervised pretraining reduces the train-test discrepancy and improves data efficiency during transfer. The proposed model also achieves lower prediction error compared with external baselines. These results demonstrate a practical route toward reusable, data-efficient mesh-based surrogate modelling for crashworthiness design exploration.
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